Blow-up for the 1D cubic NLS

Valeria Banica, Renato Lucà, Nikolay Tzvetkov +1

We consider the 1D cubic NLS on $\mathbb{R}$ and prove a blow-up result for functions that are of borderline regularity, i.e. $H^s$ for any $s<-\frac{1}{2}$ for the Sobolev scale and $…